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APMOPS 2017 Question 5

APMOPS · APMOPS 2017

Question 5

There were 4 questions in a mathematics test and the total number of marks was not 100. The number of marks allocated to question 1 was the highest, followed by questions 2, 3 and 4 (lowest). The number of marks allocated to question 1 was 22 and question 3 was 7 marks higher than question 4. Student A answered questions 1, 2 and 3 correctly and obtained 54 marks. Student B answered questions 2 and 4 correctly and obtained $x$ marks. Find $x$.